Example

Simplifying 7(815y)-7(8 - 15y) Using the Distributive Property

To simplify the expression 7(815y)-7(8 - 15y), use the distributive property to multiply the negative factor 7-7 by each term inside the parentheses.

Step 1 — Distribute: Multiply 7-7 by 88 and 7-7 by 15y-15y: (7)(8)(7)(15y)(-7)(8) - (-7)(15y)

Step 2 — Multiply: Compute the products. For the first term, (7)(8)=56(-7)(8) = -56. For the second term, (7)(15y)=105y(-7)(15y) = -105y. The expression becomes: 56(105y)-56 - (-105y)

Step 3 — Simplify: Since subtracting a negative is the same as adding a positive, (105y)-(-105y) becomes +105y+105y: 56+105y-56 + 105y

This simplifies the original expression into a final binomial.

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Updated 2026-05-02

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